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Finding the Fourth Proportional to 963.92, 1,445.72 and 270.63

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Solution

The fourth proportional to 963.92, 1,445.72 and 270.63 is: 405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.92 : 1,445.72 = 270.63 : x
  2. Step 2: Convert to fraction form
    963.92/1,445.72 = 270.63/x
  3. Step 3: Cross multiply
    963.92x = 1,445.72 × 270.63
  4. Step 4: Simplify right side
    963.92x = 391,253.85
  5. Step 5: Solve for x
    x = 391,253.85/963.92
  6. Step 6: Final answer
    x = 405.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.